Finding the Fourth Proportional to 9,825.62, 13,559.76 and 5,634.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.62 : 13,559.76 = 5,634.68 : x
2. Step 2: Convert to fraction form
   9,825.62/13,559.76 = 5,634.68/x
3. Step 3: Cross multiply
   9,825.62x = 13,559.76 × 5,634.68
4. Step 4: Simplify right side
   9,825.62x = 76,404,840.68
5. Step 5: Solve for x
   x = 76,404,840.68/9,825.62
6. Step 6: Final answer
   x = 7,776.09